501 |
Bargmann transform and its applications to partial differential equationsAl Asmer, Nabil Abed Allah Ali Jr January 2021 (has links)
This thesis is devoted to the fundamental properties and applications of the Bargmann
transform and the Fock-Segal-Bargmann space. The fundamental properties include unitarity
and invertibility of the transformation in L2 spaces and embeddings of the Fock-Segal-Bargmann spaces in Lp for any p>0. Applications include the linear partial differential
equations such as the time-dependent Schrödinger equation in harmonic potential,
the diffusion equation in self-similar variables, and the linearized Korteweg-de Vries equation, and one nonlinear partial differential equation given by the Gross-Pitaevskii model
for the rotating Bose-Einstein condensate. The main question considered in this work in
the context of linear partial differential equation is whether the envelope of the Gaussian
function remains bounded in the time evolution. We show that the answer to this question
is positive for the diffusion equation, negative for the Schrödinger equation, and unknown
for the Korteweg-de Vries equation. We also address the local and global well-posedness
of the nonlocal evolution equation derived for the Bose-Einstein condensates at the lowest
Landau level. / Thesis / Master of Science (MSc)
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502 |
A Power Series Solution of a Certain Differential EquationJuszli, Frank L. January 1950 (has links)
No description available.
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503 |
A Power Series Solution of a Certain Differential EquationJuszli, Frank L. January 1950 (has links)
No description available.
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504 |
I. Newton polygons and computation of Lojasiewicz exponents ; II. On the differential equations associated to an analytic function near a singular point /Lichtin, Benjamin Lloyd January 1978 (has links)
No description available.
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505 |
Existence theorems for singular elliptic and parabolic partial differential equationsKrantzberg, Julius A. January 1969 (has links)
No description available.
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506 |
Fine and parabolic limitsMair, Bernard A. January 1982 (has links)
No description available.
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507 |
A report on solutions of some non-linear differential equations arising in third grade fluid flowsIthikkat, Vidhya 01 October 2003 (has links)
No description available.
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508 |
Exact solutions of zonal shear fluid flow with free surface and density stratificationCortes, Edwin A. 01 July 2003 (has links)
No description available.
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509 |
Lie symmetries of differential equations with a hierarchal analysis of oscillatorsVogel, Thomas 01 October 2001 (has links)
No description available.
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510 |
Electronic Analog Computer Study of Effects of Motor Velocity and Driving Voltage Limits upon Servomechanism PerformanceHaynes, Joe Preston 08 1900 (has links)
The object of this thesis is (1) to demonstrate the value of an electronic analog computer for the solution of non-linear ordinary differential equations particularly when a large family of solutions is required; and (2) to obtain as a by-product results of practical applicability to servomechanism selection and analysis.
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